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Susan bought a dress for $69.99, shoes for $39.99, and accessories for $34.67. What was the total cost of her outfit?
- A. 139.65
- B. 144.65
- C. 145.55
- D. 144.65
Correct Answer: B
Rationale: To find the total cost of Susan's outfit, you need to add the prices of the dress, shoes, and accessories together. $69.99 + $39.99 + $34.67 = $144.65. Therefore, the correct total cost of her outfit is $144.65. Choice A ($139.65) is incorrect as it does not account for the full cost of all items. Choice C ($145.55) is incorrect as it includes an extra amount not part of the given prices. Choice D ($144.65) is incorrect due to a duplication of the correct answer.
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How can you distinguish between these three types of graphs - scatterplots: Quadratic, Exponential, Linear?
- A. Linear: straight line; Quadratic: U-shape; Exponential: rises or falls quickly in one direction
- B. Linear: curved line; Quadratic: straight line; Exponential: horizontal line
- C. Linear: zigzag line; Quadratic: U-shape; Exponential: flat line
- D. Linear: straight line; Quadratic: W-shape; Exponential: vertical line
Correct Answer: A
Rationale: To differentiate between the three types of graphs - scatterplots, a linear graph will display a straight line, a quadratic graph will have a U-shape, and an exponential graph will show a rapid rise or fall in one direction. Choice B is incorrect because linear graphs are represented by straight lines, not curved lines. Choice C is incorrect as linear graphs do not exhibit zigzag patterns, and exponential graphs do not typically result in flat lines. Choice D is incorrect because quadratic graphs form a U-shape, not a W-shape, and exponential graphs do not represent vertical lines.
A driver drove 305 miles at 65 mph, stopped for 15 minutes, then drove another 162 miles at 80 mph. How long was the trip?
- A. 6.44 hours
- B. 6.69 hours
- C. 6.97 hours
- D. 5.97 hours
Correct Answer: B
Rationale: To find the total trip duration, calculate the driving time for each segment and add the stop time. The driving time for the first segment is 305 miles · 65 mph = 4.69 hours. The driving time for the second segment is 162 miles · 80 mph = 2.025 hours. Adding the 15-minute stop (0.25 hours) gives a total time of 4.69 hours + 2.025 hours + 0.25 hours = 6.965 hours, which is closest to 6.69 hours (Choice B). Option A is incorrect as it miscalculates the total duration. Option C is incorrect as it overestimates the total duration. Option D is incorrect as it underestimates the total duration.
If Stella's current weight is 56 kilograms, what is her approximate weight in pounds?
- A. 123 pounds
- B. 110 pounds
- C. 156 pounds
- D. 137 pounds
Correct Answer: A
Rationale: To convert kilograms to pounds, you multiply the weight in kilograms by 2.2. So, 56 kilograms * 2.2 = 123.2 pounds, which can be approximated to 123 pounds. Therefore, Choice A is correct. Choices B, C, and D are incorrect as they do not match the correct conversion from kilograms to pounds for Stella's weight of 56 kilograms.
In Mrs. McConnell's classroom, there are 14 students with brown eyes and 2 students with green eyes. What is the ratio of students with brown eyes to students with green eyes?
- A. 7:1
- B. 7:2
- C. 14:2
- D. 14:1
Correct Answer: A
Rationale: The correct answer is A: 7:1. To find the ratio, divide the number of students with brown eyes (14) by the number of students with green eyes (2), which equals 7. Therefore, the ratio of students with brown eyes to students with green eyes is 7:1. Choice B (7:2) is incorrect as it does not accurately represent the ratio of students with brown eyes to green eyes. Choice C (14:2) is incorrect because the ratio should be simplified, and 14:2 simplifies to 7:1. Choice D (14:1) is incorrect as it does not consider the number of students with green eyes.
When is a histogram preferred over a bar graph?
- A. Comparison between categories
- B. Frequency
- C. Percentages
- D. Proportions
Correct Answer: B
Rationale: Histograms are specifically designed to display the frequency distribution of continuous data, showing the distribution of values over intervals or bins. On the other hand, bar graphs are used to compare different categories or discrete data points. Therefore, the correct answer is B. Choices A, C, and D are incorrect because histograms are not primarily used for comparing categories, percentages, or proportions, but rather for visualizing the distribution of frequencies within data intervals.